Find the sum of the series 2 + 5 + 8 + 11 + …. + 191.
To Find: The sum of the given series.
The nth term of an AP series is given by
tn = a + (n - 1)d
⇒191 = 2 + (n - 1)3
⇒3(n - 1) = 189
⇒n - 1 = 63
⇒n = 64
Therefore,
= 32 × 193 = 6176
The sum of the series is 6176.